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Simplifying 5x + -7x + 65 = 4x + 35 Reorder the terms: 65 + 5x + -7x = 4x + 35 Combine like terms: 5x + -7x = -2x 65 + -2x = 4x + 35 Reorder the terms: 65 + -2x = 35 + 4x Solving 65 + -2x = 35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 65 + -2x + -4x = 35 + 4x + -4x Combine like terms: -2x + -4x = -6x 65 + -6x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 65 + -6x = 35 + 0 65 + -6x = 35 Add '-65' to each side of the equation. 65 + -65 + -6x = 35 + -65 Combine like terms: 65 + -65 = 0 0 + -6x = 35 + -65 -6x = 35 + -65 Combine like terms: 35 + -65 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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